The Jacobi-matrix method in parabolic coordinates: Expansion of Coulomb functions in parabolic Sturmians
- 1 February 1987
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 28 (2) , 392-396
- https://doi.org/10.1063/1.527671
Abstract
Previous analysis of the Jacobi-matrix method based on the underlying SO(2,1) Lie algebra is extended to the Coulomb Hamiltonian in parabolic coordinates. The general solution of the generic SO(2,1) eigenvalue equation is constructed and special cases, which furnish expansions of the Coulomb functions ψ(±)k(r) in a complete set of parabolic Sturmians, are discussed.Keywords
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